2(3-m)+4=6m-4(1+m)

Solution for 2(3-m)+4=6m-4(1+m) equation:

Simplifying
2(3 + -1m) + 4 = 6m + -4(1 + m)
(3 * 2 + -1m * 2) + 4 = 6m + -4(1 + m)
(6 + -2m) + 4 = 6m + -4(1 + m)

Reorder the terms:
6 + 4 + -2m = 6m + -4(1 + m)

Combine like terms: 6 + 4 = 10
10 + -2m = 6m + -4(1 + m)
10 + -2m = 6m + (1 * -4 + m * -4)
10 + -2m = 6m + (-4 + -4m)

Reorder the terms:
10 + -2m = -4 + 6m + -4m

Combine like terms: 6m + -4m = 2m
10 + -2m = -4 + 2m

Solving
10 + -2m = -4 + 2m

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '-2m' to each side of the equation.
10 + -2m + -2m = -4 + 2m + -2m

Combine like terms: -2m + -2m = -4m
10 + -4m = -4 + 2m + -2m

Combine like terms: 2m + -2m = 0
10 + -4m = -4 + 0
10 + -4m = -4

Add '-10' to each side of the equation.
10 + -10 + -4m = -4 + -10

Combine like terms: 10 + -10 = 0
0 + -4m = -4 + -10
-4m = -4 + -10

Combine like terms: -4 + -10 = -14
-4m = -14

Divide each side by '-4'.
m = 3.5

Simplifying
m = 3.5